BIT Numerical Mathematics

, Volume 48, Issue 2, pp 285–307

Blow up of incompressible Euler solutions


DOI: 10.1007/s10543-008-0184-x

Cite this article as:
Hoffman, J. & Johnson, C. Bit Numer Math (2008) 48: 285. doi:10.1007/s10543-008-0184-x


We present analytical and computational evidence of blowup of initially smooth solutions of the incompressible Euler equations into non-smooth turbulent solutions. We detect blowup by observing increasing L2-residuals of computed solutions under decreasing mesh size.

Key words

blowup of Euler solutions weak solution general Galerkin finite element method Clay millenium prize 

Copyright information

© Springer Science + Business Media B.V. 2008

Authors and Affiliations

  1. 1.School of Computer Science and CommunicationRoyal Institute of TechnologyStockholmSweden

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